The authors prove the L^p-L^q boundedness of the fractional maximal operator M_alpha on the Heisenberg group for alpha = 1/p - 1/q by applying the Córdoba-Fefferman geometric covering lemma.
On theL p-bounds for maximal functions associated to convex bodies inR n
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A new proof of maximal theorem on Heisenberg groups
The authors prove the L^p-L^q boundedness of the fractional maximal operator M_alpha on the Heisenberg group for alpha = 1/p - 1/q by applying the Córdoba-Fefferman geometric covering lemma.